2.1569   ODE No. 1569

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ x y'(x) \left ((2 a-1) \text {C0}+4 b^2 \text {B0} c^2 x^{2 c}\right )+(6-4 a) x^3 y^{(3)}(x)+x^2 y''(x) \left (\text {A0}+4 b^2 c^2 x^{2 c}\right )+y(x) \left (4 b^2 c^2 \text {D0} x^{2 c}+\text {E0}\right )+x^4 y^{(4)}(x)=0 \] Mathematica : cpu = 300.004 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.423 (sec), leaf count = 63

\[\{y \left (x \right ) = \left (\left (c_{2} \BesselJ \left (\mu , b \,x^{c}\right )+c_{3} \BesselY \left (\mu , b \,x^{c}\right )\right ) \BesselJ \left (\nu , b \,x^{c}\right )+\left (c_{1} \BesselJ \left (\mu , b \,x^{c}\right )+c_{4} \BesselY \left (\mu , b \,x^{c}\right )\right ) \BesselY \left (\nu , b \,x^{c}\right )\right ) x^{a}\}\]